Globally convergent inexact generalized Newton's methods for nonsmooth equations

DOI10.1016/S0377-0427(01)00364-8zbMath0998.65052MaRDI QIDQ5957941

Weiwen Tian, Pu, Dingguo

Publication date: 15 November 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

global convergencenonlinear optimizationnonsmooth equationssuperlinear convergenceinexact generalized Newton's method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Related Items (12)

Some superlinearly convergent inexact generalized Newton method for solving nonsmooth equations ⋮ Iterative method with modification of the right-hand side vector for nonlinear complementarity problems ⋮ Inexact Newton method with feasible inexact projections for solving constrained smooth and nonsmooth equations ⋮ Some quadrature-based versions of the generalized Newton method for solving nonsmooth equations ⋮ A perturbed version of an inexact generalized Newton method for solving nonsmooth equations ⋮ A nonmonotone Jacobian smoothing inexact Newton method for NCP ⋮ Inexact quasi-Newton global convergent method for solving constrained nonsmooth equations ⋮ On the convergence of modified Newton methods for solving equations containing a non-differentiable term ⋮ Convergence of a generalized Newton and an inexact generalized Newton algorithms for solving nonlinear equations with nondifferentiable terms ⋮ Reference variable methods of solving min-Max optimization problems ⋮ Globally convergent Jacobian smoothing inexact Newton methods for NCP ⋮ Some Quadrature-Based Versions of the Generalized Newton Method for Solving Unconstrained Optimization Problems

Cites Work

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• A globally convergent Newton method for convex \(SC^ 1\) minimization problems
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• A nonsmooth version of Newton's method
• On Characterizations of P- and P ₀-Properties in Nonsmooth Functions
• Truncated-Newton algorithms for large-scale unconstrained optimization
• Inexact Newton Methods
• Globally Convergent Inexact Newton Methods
• A special newton-type optimization method
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations

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